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Finding the Fourth Proportional to 210,422.70, 290,383.32 and 114,929.62

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Solution

The fourth proportional to 210,422.70, 290,383.32 and 114,929.62 is: 158,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,422.70 : 290,383.32 = 114,929.62 : x
  2. Step 2: Convert to fraction form
    210,422.70/290,383.32 = 114,929.62/x
  3. Step 3: Cross multiply
    210,422.70x = 290,383.32 × 114,929.62
  4. Step 4: Simplify right side
    210,422.70x = 33,373,645,415.90
  5. Step 5: Solve for x
    x = 33,373,645,415.90/210,422.70
  6. Step 6: Final answer
    x = 158,602.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.